Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2001 / Cilt: 50 - Sayı: 1-2

Summability of trigonometric sequences by sequence of infinite matrices

Summability of trigonometric sequences by sequence of infinite matrices

Sayfa
33–41
DOI
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Abstract

Using the concept of almost-regular matrices (introduced by King [3]), Rao [6] proved a result for the A-summability of the derived series of a Fourier series. Mursaleen [5] generalized the result of Rao using the concept of $sigma$-regular matrices and also proved corresponding result for conjugate series. The purpose of this paper is to generalize these results by using ${cal B} (or F_{cal B})$ -regular matrices which is the generalization of almost and $sigma$ -regular matrices.